64916125747200 has 2592 divisors, whose sum is σ = 302071546183680. Its totient is φ = 13694917017600.

The previous prime is 64916125747153. The next prime is 64916125747219. The reversal of 64916125747200 is 274752161946.

64916125747200 is a `hidden beast` number, since 6 + 4 + 9 + 1 + 61 + 2 + 574 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7925295105 + ... + 7925303295.

Almost surely, 2^{64916125747200} is an apocalyptic number.

64916125747200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64916125747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151035773091840).

64916125747200 is an abundant number, since it is smaller than the sum of its proper divisors (237155420436480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64916125747200 is a wasteful number, since it uses less digits than its factorization.

64916125747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8265 (or 8221 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 64916125747200 in words is "sixty-four trillion, nine hundred sixteen billion, one hundred twenty-five million, seven hundred forty-seven thousand, two hundred".